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42007952 = 2471722063
BaseRepresentation
bin1010000000111…
…1110110010000
32221001020002002
42200033312100
541223223302
64100213132
71020030110
oct240176620
987036062
1042007952
1121792218
121209a1a8
13891a79c
145817040
153a4bc02
hex280fd90

42007952 has 40 divisors (see below), whose sum is σ = 98493696. Its totient is φ = 16943616.

The previous prime is 42007951. The next prime is 42007957. The reversal of 42007952 is 25970024.

It is not an unprimeable number, because it can be changed into a prime (42007951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9128 + ... + 12935.

Almost surely, 242007952 is an apocalyptic number.

It is an amenable number.

42007952 is an abundant number, since it is smaller than the sum of its proper divisors (56485744).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42007952 is a wasteful number, since it uses less digits than its factorization.

42007952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22095 (or 22089 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 42007952 is about 6481.3541794906. The cubic root of 42007952 is about 347.6246006947.

Adding to 42007952 its reverse (25970024), we get a palindrome (67977976).

The spelling of 42007952 in words is "forty-two million, seven thousand, nine hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 112 119 136 238 272 476 952 1904 22063 44126 88252 154441 176504 308882 353008 375071 617764 750142 1235528 1500284 2471056 2625497 3000568 5250994 6001136 10501988 21003976 42007952